In an $LCR$ series $AC$ circuit at resonance,the value of the power factor will be . . . . . . .

$A$ series $LCR$ circuit containing a resistance $R$ has angular frequency $\omega$. At resonance,the voltage across the resistance and the inductor are $V_R$ and $V_L$ respectively. Then,the value of inductance $L$ will be:

In the circuit shown,the readings of voltmeters $V_1, V_2$ and $V_3$ at resonance are given by

The self-inductance of the motor of an electric fan is $10\;H$. In order to impart maximum power at $50\;Hz$, it should be connected to a capacitance (in $\mu F$) of:

When you walk through a metal detector carrying a metal object in your pocket,it raises an alarm. This phenomenon works on

The $LC$ parallel resonant circuit: